1. Big Operators 
2. Binary Operators
3. Fractions and Binomials 
4. Math Operators 

Operators

Letters

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$( )$ | `( )`|
|$\lparen$ | `\lparen`|
|$\rparen$ | `\rparen`|
|$⌈ ⌉$ | `⌈ ⌉`|
|$\lceil$ | `\lceil`|
|$\rceil$ | `\rceil`|
|$\uparrow$ | `\uparrow`|
|$[ ]$ | `[ ]`|
|$\lbrack$ | `\lbrack`|
|$\rbrack$ | `\rbrack`|
|$⌊ ⌋$ | `⌊ ⌋`|
|$\lfloor$ | `\lfloor`|
|$\rfloor$ | `\rfloor`|
|$\downarrow$ | `\downarrow`|
|$\{ \}$ | `\{ \}`|
|$\lbrace$ | `\lbrace`|
|$\rbrace$ | `\rbrace`|
|$⎰⎱$ | `⎰⎱`|
|$\lmoustache$ | `\lmoustache`|
|$\rmoustache$ | `\rmoustache`|
|$\updownarrow$ | `\updownarrow`|
|$⟨ ⟩$ | `⟨ ⟩`|
|$\langle$ | `\langle`|
|$\rangle$ | `\rangle`|
|$⟮ ⟯$ | `⟮ ⟯`|
|$\lgroup$ | `\lgroup`|
|$\rgroup$ | `\rgroup`|
|$\Uparrow$ | `\Uparrow`|
|$|$ | `|`|
|$\vert$ | `\vert`|
|$┌ ┐$ | `┌ ┐`|
|$\ulcorner$ | `\ulcorner`|
|$\urcorner$ | `\urcorner`|
|$\Downarrow$ | `\Downarrow`|
|$\|$ | `\|`|
|$\Vert$ | `\Vert`|
|$└ ┘$ | `└ ┘`|
|$\llcorner$ | `\llcorner`|
|$\lrcorner$ | `\lrcorner`|
|$\Updownarrow$ | `\Updownarrow`|
|$\lvert$ | `\lvert`|
|$\rvert$ | `\rvert`|
|$\lVert$ | `\lVert`|
|$\rVert$ | `\rVert`|
|$\backslash$ | `\backslash`|
|$\lang$ | `\lang`|
|$\rang$ | `\rang`|
|$\lt \gt$ | `\lt \gt`|
|$⟦ ⟧$ | `⟦ ⟧`|
|$\llbracket$ | `\llbracket`|
|$\rrbracket$ | `\rrbracket`|
|$\lBrace \rBrace$ | `\lBrace \rBrace`|

Brackets / Delimiters 

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$$\begin{matrix}a & b \\c & d\end{matrix}$$ | `\begin{matrix}a & b \\c & d\end{matrix}`|
|$$\begin{array}{cc}a & b \\c & d\end{array}$$ | `\begin{array}{cc}a & b \\c & d\end{array}`|
|$$\begin{pmatrix}a & b \\c & d\end{pmatrix}$$ | `\begin{pmatrix}a & b \\c & d\end{pmatrix}`|
|$$\begin{bmatrix}a & b \\c & d\end{bmatrix}$$ | `\begin{bmatrix}a & b \\c & d\end{bmatrix}`|
|$$\begin{vmatrix}a & b \\c & d\end{vmatrix}$$ | `\begin{vmatrix}a & b \\c & d\end{vmatrix}`|
|$$\begin{Vmatrix}a & b \\c & d\end{Vmatrix}$$ | `\begin{Vmatrix}a & b \\c & d\end{Vmatrix}`|
|$$\begin{Bmatrix}a & b \\c & d\end{Bmatrix}$$ | `\begin{Bmatrix}a & b \\c & d\end{Bmatrix}`|
|$$\begin{array}{c:c:c}a & b & c \\ \hline d & e & f \\ \hdashline g & h & i\end{array}$$ | `\begin{array}{c:c:c}a & b & c \\ \hline d & e & f \\ \hdashline g & h & i\end{array}`|
|$$\begin{aligned}a&=b+c \\d+e&=f\end{aligned}$$ | `\begin{aligned}a&=b+c \\d+e&=f\end{aligned}`|
|$$\begin{alignedat}{2} 10&x+ &3&y = 2 \\3&x+&13&y = 4\end{alignedat}$$ | `\begin{alignedat}{2} 10&x+ &3&y = 2 \\3&x+&13&y = 4\end{alignedat}`|
|$$\begin{gathered}a=b \\e=b+c\end{gathered}$$ | `\begin{gathered}a=b \\e=b+c\end{gathered}`|
|$$x = \begin{cases}a &\text{if } b \\c &\text{if } d\end{cases}$$ | `x = \begin{cases}$a &\text{if } b \\c &\text{if } d\end{cases}`|

Matricies / Environments

1. Equality Comparison Symbols
2. Negated Relation Symbols 
3. Arrows 

Comparison and Relation Symbols

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$\cancel{5}$ | `\cancel{5}`|
|$\bcancel{5}$ | `\bcancel{5}`|
|$\overbrace{a+b+c}^{\text{note}}$ | `\overbrace{a+b+c}^{\text{note}}`|
|$\underbrace{a+b+c}_{\text{note}}$ | `\underbrace{a+b+c}_{\text{note}}`|
|$\xcancel{ABC}$ | `\xcancel{ABC}`|
|$\sout{abc}$ | `\sout{abc}`|
|$\not =$ | `\not =`|
|$\boxed{\pi=\frac c d}$ | `\boxed{\pi=\frac c d}`|

Annotation Symbols

|$\KaTeX$ |`Plain Text`|
| ------- | ------- |
|$% comment$ | `% comment`|
|$\dots$ | `\dots`|
|$\KaTeX$ | `\KaTeX`|
|$\%$ | `\%`|
|$\cdots$ | `\cdots`|
|$\LaTeX$ | `\LaTeX`|
|$\#$ | `\#`|
|$\ddots$ | `\ddots`|
|$\TeX$ | `\TeX`|
|$\&$ | `\&`|
|$\ldots$ | `\ldots`|
|$\nabla$ | `\nabla`|
|$\_$ | `\_`|
|$\vdots$ | `\vdots`|
|$\infty$ | `\infty`|
|$\text{\textunderscore}$ | `\text{\textunderscore}`|
|$\dotsb$ | `\dotsb`|
|$\infin$ | `\infin`|
|$\text{--}$ | `\text{--}`|
|$\dotsc$ | `\dotsc`|
|$\checkmark$ | `\checkmark`|
|$\text{\textendash}$ | `\text{\textendash}`|
|$\dotsi$ | `\dotsi`|
|$\dag$ | `\dag`|
|$\text{---}$ | `\text{---}`|
|$\dotsm$ | `\dotsm`|
|$\dagger$ | `\dagger`|
|$\text{\textemdash}$ | `\text{\textemdash}`|
|$\dotso$ | `\dotso`|
|$\text{\textdagger}$ | `\text{\textdagger}`|
|$\text{\textasciitilde}$ | `\text{\textasciitilde}`|
|$\sdot$ | `\sdot`|
|$\ddag$ | `\ddag`|
|$\text{\textasciicircum}$ | `\text{\textasciicircum}`|
|$\mathellipsis$ | `\mathellipsis`|
|$\ddagger$ | `\ddagger`|
|$``$ | ''|
|$\text{\textellipsis}$ | `\text{\textellipsis}`|
|$\text{\textdaggerdbl}$ | `\text{\textdaggerdbl}`|
|$\Box$ | `\Box`|
|$\Dagger$ | `\Dagger`|
|$\lq$ | `\lq`|
|$\square$ | `\square`|
|$\angle$ | `\angle`|
|$\text{\textquoteright}$ | `\text{\textquoteright}`|
|$\blacksquare$ | `\blacksquare`|
|$\measuredangle$ | `\measuredangle`|
|$\rq$ | `\rq`|
|$\triangle$ | `\triangle`|
|$\sphericalangle$ | `\sphericalangle`|
|$\text{\textquotedblleft}$ | `\text{\textquotedblleft}`|
|$\triangledown$ | `\triangledown`|
|$\top$ | `\top`|
|$"$ | `"`|
|$\triangleleft$ | `\triangleleft`|
|$\bot$ | `\bot`|
|$\text{\textquotedblright}$ | `\text{\textquotedblright}`|
|$\triangleright$ | `\triangleright`|
|$\$$ | `\$`|
|$\colon$ | `\colon`|
|$\bigtriangledown$ | `\bigtriangledown`|
|$\text{\textdollar}$ | `\text{\textdollar}`|
|$\backprime$ | `\backprime`|
|$\bigtriangleup$ | `\bigtriangleup`|
|$\pounds$ | `\pounds`|
|$\prime$ | `\prime`|
|$\blacktriangle$ | `\blacktriangle`|
|$\mathsterling$ | `\mathsterling`|
|$\text{\textless}$ | `\text{\textless}`|
|$\blacktriangledown$ | `\blacktriangledown`|
|$\text{\textsterling}$ | `\text{\textsterling}`|
|$\text{\textgreater}$ | `\text{\textgreater}`|
|$\blacktriangleleft$ | `\blacktriangleleft`|
|$\yen$ | `\yen`|
|$\text{\textbar}$ | `\text{\textbar}`|
|$\blacktriangleright$ | `\blacktriangleright`|
|$\surd$ | `\surd`|
|$\text{\textbardbl}$ | `\text{\textbardbl}`|
|$\diamond$ | `\diamond`|
|$\degree$ | `\degree`|
|$\text{\textbraceleft}$ | `\text{\textbraceleft}`|
|$\Diamond$ | `\Diamond`|
|$\text{\textdegree}$ | `\text{\textdegree}`|
|$\text{\textbraceright}$ | `\text{\textbraceright}`|
|$\lozenge$ | `\lozenge`|
|$\mho$ | `\mho`|
|$\text{\textbackslash}$ | `\text{\textbackslash}`|
|$\blacklozenge$ | `\blacklozenge`|
|$\diagdown$ | `\diagdown`|
|$\text{\P}$ | `\text{\P}`|
|$\star$ | `\star`|
|$\diagup$ | `\diagup`|
|$\text{\S}$ | `\text{\S}`|
|$\bigstar$ | `\bigstar`|
|$\flat$ | `\flat`|
|$\text{\sect}$ | `\text{\sect}`|
|$\clubsuit$ | `\clubsuit`|
|$\natural$ | `\natural`|
|$\copyright$ | `\copyright`|
|$\clubs$ | `\clubs`|
|$\sharp$ | `\sharp`|
|$\circledR$ | `\circledR`|
|$\diamondsuit$ | `\diamondsuit`|
|$\heartsuit$ | `\heartsuit`|
|$\text{\textregistered}$ | `\text{\textregistered}`|
|$\diamonds$ | `\diamonds`|
|$\hearts$ | `\hearts`|
|$\circledS$ | `\circledS`|
|$\spadesuit$ | `\spadesuit`|
|$\spades$ | `\spades`|
|$\text{\textcircled a}$ | `\text{\textcircled a}`|
|$\maltese$ | `\maltese`

Misc Symbols and Punctuation

|$$\KaTeX$$ |`Plain Text`| | ------- | ------- | |$$\forall$$ | `\forall`| |$$\complement$$ | `\complement`| |$$\therefore$$ | `\therefore`| |$$\emptyset$$ | `\emptyset`| |$$\exists$$ | `\exists`| |$$\subset$$ | `\subset`| |$$\because$$ | `\because`| |$$\empty$$ | `\empty`| |$$\exist$$ | `\exist`| |$$\supset$$ | `\supset`| |$$\mapsto$$ | `\mapsto`| |$$\varnothing$$ | `\varnothing`| |$$\nexists$$ | `\nexists`| |$$\mid$$ | `\mid`| |$$\to$$ | `\to`| |$$\implies$$ | `\implies`| |$$\in$$ | `\in`| |$$\land$$ | `\land`| |$$\gets$$ | `\gets`| |$$\impliedby$$ | `\impliedby`| |$$\isin$$ | `\isin`| |$$\lor$$ | `\lor`| |$$\leftrightarrow$$ | `\leftrightarrow`| |$$\iff$$ | `\iff`| |$$\notin$$ | `\notin`| |$$\ni$$ | `\ni`| |$$\notni$$ | `\notni`| |$$\neg$$ | `\neg`| |$$\lnot$$ | `\lnot`|

Logic and Set Theory Symbols

|$$\KaTeX$$ |`Plain Text`| | ------- | ------- | |$$x_n$$ | `x_n`| |$$\stackrel{!}{=}$$ | `\stackrel{!}{=}`| |$$\overset{!}{=}$$ | `\overset{!}{=}`| |$$\underset{!}{=}$$ | `\underset{!}{=}`| |$${=}\mathllap{/\,}$$ | `{=}\mathllap{/\,}`| |$$\mathrlap{\,/}{=}$$ | `\mathrlap{\,/}{=}`| |$$a \atop b$$ | `a \atop b`| |$$a\raisebox{0.25em}{b}c$$ | `a\raisebox{0.25em}{b}c`| |$$_u^o$$ | `_u^o`| |$$e^x$$ | `e^x`| |$$\left(x^{\smash{2}}\right)$$ | `\left(x^{\smash{2}}\right)`| |$$\sqrt{\smash[b]{y}}$$ | `\sqrt{\smash[b]{y}}`| |$$\sum_{\mathclap{1\le i\le j\le n}} x_{ij}$$ | `\sum_{\mathclap{1\le i\le j\le n}} x_{ij}`|

$$\KaTeX$$ Overlap and Spacing Specifiers

| $$\KaTeX$$ | `Plain Text` |
| ------- | ------- |
| $$a'$$ | `a'` |
| $$\tilde{a}$$ | `\tilde{a}` |
| $$\mathring{g}$$ | `\mathring{g}` |
| $$a''$$ | `a''` |
| $$\widetilde{ac}$$ | `\widetilde{ac}` |
| $$\overgroup{AB}$$ | `\overgroup{AB}` |
| $$a^{\prime}$$ | `a^{\prime}` |
| $$\utilde{AB}$$ | `\utilde{AB}` |
| $$\undergroup{AB}$$ | `\undergroup{AB}` |
| $$\acute{a}$$ | `\acute{a}` |
| $$\vec{F}$$ | `\vec{F}` |
| $$\Overrightarrow{AB}$$ | `\Overrightarrow{AB}` |
| $$\bar{y}$$ | `\bar{y}` |
| $$\overleftarrow{AB}$$ | `\overleftarrow{AB}` |
| $$\overrightarrow{AB}$$ | `\overrightarrow{AB}` |
| $$\breve{a}$$ | `\breve{a}` |
| $$\underleftarrow{AB}$$ | `\underleftarrow{AB}` |
| $$\underrightarrow{AB}$$ | `\underrightarrow{AB}` |
| $$\check{a}$$ | `\check{a}` |
| $$\overleftharpoon{ac}$$ | `\overleftharpoon{ac}` |
| $$\overrightharpoon{ac}$$ | `\overrightharpoon{ac}` |
| $$\dot{a}$$ | `\dot{a}` |
| $$\overleftrightarrow{AB}$$ | `\overleftrightarrow{AB}` |
| $$\overbrace{AB}$$ | `\overbrace{AB}` |
| $$\ddot{a}$$ | `\ddot{a}` |
| $$\underleftrightarrow{AB}$$ | `\underleftrightarrow{AB}` |
| $$\underbrace{AB}$$ | `\underbrace{AB}` |
| $$\grave{a}$$ | `\grave{a}` |
| $$\overline{AB}$$ | `\overline{AB}` |
| $$\overlinesegment{AB}$$ | `\overlinesegment{AB}` |
| $$\hat{\theta}$$ | `\hat{\theta}` |
| $$\underline{AB}$$ | `\underline{AB}` |
| $$\underlinesegment{AB}$$ | `\underlinesegment{AB}` |
| $$\widehat{ac}$$ | `\widehat{ac}` |
| $$\widecheck{ac}$$ | `\widecheck{ac}` |

$$\KaTeX$$ Accents and Symbol Decorators

|$$\KaTeX$$ |`Plain Text`|
| ------- | ------- |
|$$\color{blue} F=ma$$ | `\color{blue} F=ma`|
|$$\textcolor{blue}{F=ma}$$ | `\textcolor{blue}{F=ma}`|
|$$\textcolor{#228B22}{F=ma}$$ | `\textcolor{#228B22}{F=ma}`|
|$$\colorbox{aqua}{A}$$ | `\colorbox{aqua}{A}`|
|$$\fcolorbox{red}{aqua}{A}$$ | `\fcolorbox{red}{aqua}{A}`|
|$$\mathrm{Ab0}$$ | `\mathrm{Ab0}`|
|$$\mathbf{Ab0}$$ | `\mathbf{Ab0}`|
|$$\mathit{Ab0}$$ | `\mathit{Ab0}`|
|$$\mathnormal{Ab0}$$ | `\mathnormal{Ab0}`|
|$$\textbf{Ab0}$$ | `\textbf{Ab0}`|
|$$\textit{Ab0}$$ | `\textit{Ab0}`|
|$$\textrm{Ab0}$$ | `\textrm{Ab0}`|
|$$\bf Ab0$$ | `\bf Ab0`|
|$$\it Ab0$$ | `\it Ab0`|
|$$\rm Ab0$$ | `\rm Ab0`|
|$$\bold{Ab0}$$ | `\bold{Ab0}`|
|$$\textup{Ab0}$$ | `\textup{Ab0}`|
|$$\textnormal{Ab0}$$ | `\textnormal{Ab0}`|
|$$\boldsymbol{Ab}$$ | `\boldsymbol{Ab}`|
|$$\Bbb{AB}$$ | `\Bbb{AB}`|
|$$\text{Ab0}$$ | `\text{Ab0}`|
|$$\bm{Ab0}$$ | `\bm{Ab0}`|
|$$\mathbb{AB}$$ | `\mathbb{AB}`|
|$$\mathsf{Ab0}$$ | `\mathsf{Ab0}`|
|$$\textmd{Ab0}$$ | `\textmd{Ab0}`|
|$$\frak{Ab0}$$ | `\frak{Ab0}`|
|$$\textsf{Ab0}$$ | `\textsf{Ab0}`|
|$$\mathtt{Ab0}$$ | `\mathtt{Ab0}`|
|$$\mathfrak{Ab0}$$ | `\mathfrak{Ab0}`|
|$$\sf Ab0$$ | `\sf Ab0`|
|$$\texttt{Ab0}$$ | `\texttt{Ab0}`|
|$$\mathcal{AB0}$$ | `\mathcal{AB0}`|
|$$\tt Ab0$$ | `\tt Ab0`|
|$$\mathscr{AB}$$ | `\mathscr{AB}`|
|$$\textsf{\textbf{H}}$$ | `\textsf{\textbf{H}}`|
|$$\mathsf{\mathbf{H}}$$ | `\mathsf{\mathbf{H}}`|
|$$\pmb{\mu}$$ | `\pmb{\mu}`|
|$$\Huge AB$$ | `\Huge AB`|
|$$\normalsize AB$$ | `\normalsize AB`|
|$$\huge AB$$ | `\huge AB`|
|$$\small AB$$ | `\small AB`|
|$$\LARGE AB$$ | `\LARGE AB`|
|$$\footnotesize AB$$ | `\footnotesize AB`|
|$$\Large AB$$ | `\Large AB`|
|$$\scriptsize AB$$ | `\scriptsize AB`|
|$$\large AB$$ | `\large AB`|
|$$\tiny AB$$ | `\tiny AB`|
|$$\displaystyle\sum_{i=1}^n$$ | `\displaystyle\sum_{i=1}^n`|
|$$\textstyle\sum_{i=1}^n$$ | `\textstyle\sum_{i=1}^n`|
|$$\scriptstyle x$$ | `\scriptstyle x`|
|$$\scriptscriptstyle x$$ | `\scriptscriptstyle x`|
|$$\lim\limits_x$$ | `\lim\limits_x`|
|$$\lim\nolimits_x$$ | `\lim\nolimits_x`|
|$$\verb!x^2!$$ | `\verb!x^2!`|

$$\KaTeX$$ Style, Font, Size and Color Modifiers

1. Operators
   * Big Operators
   * Binary Operators
   * Fractions and Binomials
   * Math Operators
2. Letters
   * Greek Letters
   * Other Letters
3. Logic and Set Theory Symbols
4. Accents and Symbol Decorators
5. Delimiters and Brackets
6. Matricies / Environments
7. Comparison and Relation Symbols
   * Equality Comparison Symbols
   * Negated Comparison / Relation Symbols
   * Arrows
8. Annotation Symbols
9. Misc Symbols and Punctuation
10. Overlap and Spacing Specifiers
11. Style, Font, Size and Color Modifiers

University of Michigan - Ann Arbor

Google

To render a mathematical formula with $$\KaTeX$$, wrap the expression in double dollar signs ($$...$$). Single dollar signs must not be used, as they can cause parse errors when multiple expressions appear in the same paragraph.

Example:
$$f(x) = x^2 + 1$$ renders as:
$$f(x) = x^2 + 1$$

$$\KaTeX$$ Math Formulas

#### Formulas wrapped with a single `$` will always render left-justified:
`$E = mc^2$` => $E = mc^2$
`\n$E = mc^2$\n` =>
$E=mc^2$

#### Formulas wrapped with double `$$` will render in the centered format shown below only If the following conditions are met:
* The formula is on it's own line.
* NO characters including all whitespace characters other than "\\n", are on the formula's line before the first `$$` or after the second `$$`.

`$$E = mc^2$$` => $$E = mc^2$$

***The math below renders centered because the formula does not share its line with any other characters:***
`\n$$E = mc^2$$\n` => 
$$E = mc^2$$

#### Note: If ANY character shares a line with a formula, (see space before "\\n") it will render left-justified even if wrapped with double `$$`: ####
` \n$$E = mc^2$$\n` => 
 $$E = mc^2$$ 

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